pseudolocality

— The result has two main consequences: First, it implies that singularities in Ricci flows with bounded scalar curvature have codimension #92;geq 4 and, second, it establishes a general form of the Hamilton-Tian Conjecture, which is even true in the Riemannian case. In the course of the proof, we will also establish the following results: L#123;plt;4#125; curvature bounds, integral bounds on the curvature radius, Gromov-Hausdorff closeness of time-slices, an #92;varepsilon-regularity theorem for Ricci flows and an improved backwards pseudolocality theorem..